On the numerical construction of formal powers and their application to the Electrical Impedance Equation

Abstract

Applying elements of the Pseudoanalytic Function Theory, we study a numerical technique for approaching solutions of partial differential systems in the plane, defined within bounded domains. Particularly, we examine the set of functions for solving boundary-value problems of the Electrical Impedance Equation, remarking the properties of these solutions that are not possible to detect when employing classical methods.